Edit Profile (opens in new tab) Golub, Gene Howard Compute Distance To: Compute Author ID: golub.gene-h Published as: Golub, Gene H.; Golub, G. H.; Golub, Gene; Golub, G. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 258 Publications since 1961, including 14 Books 9 Contributions as Editor Biographic References: 5 Publications Co-Authors: 186 Co-Authors with 244 Joint Publications 5,695 Co-Co-Authors all top 5 Co-Authors 18 single-authored 10 Van Loan, Charles Francis 9 Boley, Daniel L. 8 Bai, Zhongzhi 8 Concus, Paul 8 O’Leary, Dianne P. 7 Gander, Walter 7 Meurant, Gérard A. 7 Milanfar, Peyman 6 Calvetti, Daniela 6 Elhay, Sylvan 6 Elman, Howard C. 6 Reichel, Lothar 5 Chan, Tony Fan-Cheong 5 Chu, Moody T. 5 Greif, Chen 5 Kautsky, Jaroslav 5 Law, Kincho H. 5 Plemmons, Robert James 5 Van Dooren, Paul M. 5 von Matt, Urs 5 Zha, Hongyuan 4 Arbenz, Peter 4 Bartels, Richard Harold 4 Benzi, Michele 4 Ortega, James M. 4 Van Barel, Marc 4 Vandebril, Raf 4 Varah, James M. 4 Yuan, Jinyun 4 Zhang, Tong 3 Bai, Zhaojun 3 Bertaccini, Daniele 3 Chandrasekaran, Shivkumar 3 Fischer, Bernd 3 Funderlic, Robert E. 3 Gu, Ming 3 Hansen, Per Christian 3 LeVeque, Randall J. 3 Luk, Franklin T. 3 Nash, Stephen G. 3 Ng, Michael Kwok-Po 3 Overton, Michael L. 3 Saunders, Michael A. 3 Sayed, Ali H. 3 Serra-Capizzano, Stefano 3 Strebel, Rolf 3 Van der Vorst, Henk Albertus 3 Wathen, Andrew John 3 Wilkinson, James Hardy 3 Ye, Qiang 2 Berry, Michael W. 2 Björck, Åke 2 Buzbee, Billy L. 2 Chan, Raymond Hon-Fu 2 Chang, Xiaowen 2 Cuyt, Annie A. M. 2 Dahlquist, Germund 2 de Boor, Carl 2 De Moor, Bart L. R. 2 Elad, Michael 2 Fierro, Ricardo D. 2 Gautschi, Walter 2 Greenbaum, Anne 2 Gutknecht, Martin H. 2 Hald, Ole Hansen 2 Kågström, Bo 2 Lee, Chris P. 2 Li, Chi-Kwong 2 Liao, Li-Zhi 2 Mastronardi, Nicola 2 Mulet, Pep 2 Ram, Yitshak M. 2 Seneta, Eugene 2 Sølna, Knut 2 Stewart, Gilbert Wright 2 Tang, Wei-Pai 2 Underwood, Richard 2 Varga, Richard Steven 2 Verdonk, Brigitte M. 2 Widlund, Olof B. 2 Wu, Xiaonan 2 Zenios, Stefanos A. 2 Zhang, Zhenyue 1 Alter, Orly 1 Andersson, Lars-Erik 1 Baglama, James 1 Beckermann, Bernhard 1 Björk, Åke 1 Bochev, M. A. 1 Boutry, Gregory 1 Brent, Richard Peirce 1 Businger, P. A. 1 Carey, Cheryl M. M. 1 Cecilio, W. A. G. 1 Chu, Delin 1 Cline, Alan K. 1 Comon, Pierre 1 Cottle, Richard W. 1 Cuminato, José Alberto 1 Dorr, Fred W. ...and 88 more Co-Authors all top 5 Serials 28 SIAM Journal on Matrix Analysis and Applications 16 BIT 15 Numerische Mathematik 15 Linear Algebra and its Applications 14 SIAM Journal on Scientific Computing 13 Mathematics of Computation 11 Numerical Algorithms 8 SIAM Journal on Numerical Analysis 5 Journal of Computational and Applied Mathematics 5 SIAM Review 4 SIAM Journal on Scientific and Statistical Computing 3 Systems & Control Letters 3 Communications of the ACM 3 Numerical Linear Algebra with Applications 2 Bulletin of the Australian Mathematical Society 2 IMA Journal of Numerical Analysis 2 Inverse Problems 2 Calcolo 2 Journal of Econometrics 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 IEEE Transactions on Image Processing 2 Internet Mathematics 2 Acta Numerica 2 Johns Hopkins Series in the Mathematical Sciences 1 The American Statistician 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 ACM Transactions on Mathematical Software 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Computing 1 IEEE Transactions on Automatic Control 1 IEEE Transactions on Computers 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Technometrics 1 SIAM Journal on Algebraic and Discrete Methods 1 Applied Numerical Mathematics 1 IEEE Transactions on Signal Processing 1 IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing 1 Journal of Statistical Computation and Simulation 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Proceedings of the National Academy of Sciences of the United States of America 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Numerical Mathematics 1 Journal of the Society for Industrial & Applied Mathematics 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Berliner Studienreihe zur Mathematik 1 Collection de la Direction des Études et Recherches d’Électricité de France 1 The IMA Volumes in Mathematics and its Applications 1 ISNM. International Series of Numerical Mathematics 1 MAA Studies in Mathematics 1 NATO ASI Series. Series F. Computer and Systems Sciences 1 Proceedings of Symposia in Applied Mathematics 1 Texts and Readings in Mathematics 1 Annals of Mathematical Statistics 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis 1 Numerical Mathematics and Scientific Computation 1 Princeton Series in Applied Mathematics all top 5 Fields 216 Numerical analysis (65-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 26 Partial differential equations (35-XX) 21 Statistics (62-XX) 18 Computer science (68-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 9 Operations research, mathematical programming (90-XX) 8 Approximations and expansions (41-XX) 6 Fluid mechanics (76-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 235 Publications have been cited 17,599 times in 12,255 Documents Cited by ▼ Year ▼ Matrix computations. 3rd ed. Zbl 0865.65009Golub, Gene; Van Loan, Charles F. 3,124 1996 Matrix computations. 2nd ed. Zbl 0733.65016Golub, Gene H.; Van Loan, Charles F. 1,418 1989 Matrix computations. 4th ed. Zbl 1268.65037Golub, Gene H.; Van Loan, Charles F. 918 2013 Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 907 2005 Matrix computations. Zbl 0559.65011Golub, Gene H.; Van Loan, Charles F. 883 1983 Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 640 2003 Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059Golub, Gene H.; Heath, Michael; Wahba, Grace 426 1979 Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu 355 2004 Calculation of Gauss quadrature rules. Zbl 0179.21901Golub, Gene H.; Welsch, John H. 338 1969 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 280 2007 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 254 2004 Calculating the singular values and pseudo-inverse of a matrix. Zbl 0194.18201Golub, G.; Kahan, W. 252 1965 A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022Golub, Gene H.; Nash, S.; Van Loan, Charles F. 249 1979 Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041Elman, Howard C.; Golub, Gene H. 240 1994 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 221 2000 Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng 218 2005 On direct methods for solving Poisson’s equations. Zbl 0217.52902Buzbee, B. L.; Golub, G. H.; Nielson, C. W. 209 1970 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 192 1999 The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 178 1973 An analysis of the total least squares problem. Zbl 0468.65011Golub, Gene H.; Van Loan, Charles F. 175 1980 Some modified matrix eigenvalue problems. Zbl 0254.65027Golub, Gene H. 170 1973 Symmetric tensors and symmetric tensor rank. Zbl 1181.15014Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard 168 2008 SOR-like methods for augmented systems. Zbl 0991.65036Golub, Gene H.; Wu, X.; Yuan, Jin-Yun 165 2001 Singular value decomposition and least squares solutions. Zbl 0181.17602Golub, G. H.; Reinsch, C. 158 1970 Rank-one approximation to high order tensors. Zbl 1001.65036Zhang, Tong; Golub, Gene H. 141 2001 Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 141 2007 Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903Golub, Gene H.; Varga, Richard S. 141 1961 Numerical methods for solving linear least squares problems. Zbl 0142.11502Golub, G. 136 1965 On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 134 2008 On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 127 2007 Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 125 2006 Methods for modifying matrix factorizations. Zbl 0289.65021Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A. 123 1974 Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503Businger, P.; Golub, G. H. 104 1965 Numerical methods for computing angles between linear subspaces. Zbl 0282.65031Björck, Åke; Golub, Gene H. 101 1973 A survey of matrix inverse eigenvalue problems. Zbl 0633.65036Boley, Daniel; Golub, Gene H. 100 1987 Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058Chu, Moody T.; Golub, Gene H. 97 2005 Matrices, moments and quadrature with applications. Zbl 1217.65056Golub, Gene H.; Meurant, Gérard 96 2010 Block preconditioning for the conjugate gradient method. Zbl 0556.65022Concus, P.; Golub, G. H.; Meurant, G. 95 1985 Tikhonov regularization and total least squares. Zbl 0945.65042Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P. 88 1999 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 86 2003 Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method. Zbl 0385.65048Concus, P.; Golub, G. H.; O’Leary, D. P. 82 1978 Structured inverse eigenvalue problems. Zbl 1105.65326Chu, Moody T.; Golub, Gene H. 82 2002 The direct solution of the discrete Poisson equation on irregular regions. Zbl 0231.65083Buzbee, B. L.; Dorr, F. W.; George, J. A.; Golub, G. H. 81 1971 On solving block-structured indefinite linear systems. Zbl 1036.65033Golub, Gene H.; Greif, Chen 75 2003 The numerically stable reconstruction of a Jacobi matrix from spectral data. Zbl 0388.15010de Boor, C.; Golub, G. H. 71 1978 Matrices, moments and quadrature. Zbl 0795.65019Golub, G. H.; Meurant, Gerard 65 1994 Adaptive methods for the computation of PageRank. Zbl 1091.68044Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene 65 2004 Ill-conditioned eigensystems and the computation of the Jordan canonical form. Zbl 0341.65027Golub, G. H.; Wilkinson, J. H. 65 1976 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 63 2003 Least-squares fitting of circles and ellipses. Zbl 0817.65008Gander, Walter; Golub, Gene H.; Strebel, Rolf 61 1994 Iterative solution of linear systems. Zbl 0762.65019Freund, Roland W.; Golub, Gene H.; Nachtigal, Noël M. 59 1992 Matrix computations. 3rd ed. Zbl 1118.65316Golub, Gene; Van Loan, Charles F. 56 2007 An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053Golub, Gene H.; Wathen, Andrew J. 55 1998 The Block Lanczos method for computing eigenvalues. Zbl 0407.68040Golub, G. H.; Underwood, R. 54 1977 Scientific computing. An introduction with parallel computing. Zbl 0790.65001Golub, Gene; Ortega, James M. 50 1993 The simplex method of linear programming using LU decomposition. Zbl 0181.19104Bartels, R. H.; Golub, G. H. 49 1969 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044Calvetti, D.; Golub, G. H.; Reichel, L. 48 1999 Quadratically constrained least squares and quadratic problems. Zbl 0745.65029Golub, Gene H.; von Matt, Urs 48 1991 Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina 47 2005 Some large-scale matrix computation problems. Zbl 0870.65035Bai, Zhaojun; Fahey, Mark; Golub, Gene 47 1996 An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034Golub, G. H.; Greif, C. 47 2006 An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017Golub, Gene H.; Ye, Qiang 46 2002 A stable numerical method for inverting shape from moments. Zbl 0956.65030Golub, Gene H.; Milanfar, Peyman; Varah, James 44 2000 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 44 1999 A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020Golub, G. H.; Hoffman, Alan; Stewart, G. W. 44 1987 Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050Golub, G. H.; Meurant, G. 43 1997 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 43 2000 A constrained eigenvalue problem. Zbl 0666.15006Gander, Walter; Golub, Gene H.; von Matt, Urs 42 1989 Scientific computing and differential equations: an introduction to numerical methods. Rev. ed. Zbl 0749.65041Golub, Gene H.; Ortega, James M. 41 1992 Calculation of Gauss quadratures with multiple free and fixed knots. Zbl 0525.65010Golub, G. H.; Kautsky, J. 40 1983 Some history of the conjugate gradient and Lanczos algorithms: 1948-1976. Zbl 0673.65017Golub, Gene H.; O’Leary, Dianne P. 40 1989 Eigenvalue computation in the 20th century. Zbl 0965.65057Golub, Gene H.; van der Vorst, Henk A. 39 2000 On the solution of large, structured linear complementarity problems: the block partitioned case. Zbl 0391.90087Cottle, Richard W.; Golub, Gene H.; Sacher, Richard S. 38 1978 A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022Golub, Gene H.; Luk, Franklin T.; Overton, Michael L. 37 1981 Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022Golub, Gene H.; Ye, Qiang 36 2000 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 36 1999 Imposing curvature restrictions on flexible functional forms. Zbl 0573.62098Gallant, A. Ronald; Golub, Gene H. 35 1984 On the calculation of Jacobi matrices. Zbl 0512.65030Kautsky, J.; Golub, G. H. 34 1983 Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. Zbl 0245.65043Concus, Paul; Golub, Gene H. 34 1973 Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021Elman, Howard C.; Golub, Gene H. 33 1990 The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033Golub, Gene H.; Overton, Michael L. 32 1988 Note on the iterative refinement of least squares solution. Zbl 0156.16106Golub, G. H.; Wilkinson, J. H. 32 1966 On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O. 30 1974 A rank-one reduction formula and its applications to matrix factorizations. Zbl 0844.65033Chu, Moody T.; Funderlic, Robert E.; Golub, Gene H. 29 1995 Using the QR factorization and group inversion to compute, differentiate, and estimate the sensitivity of stationary probabilities for Markov chains. Zbl 0594.60072Golub, Gene H.; Meyer, Carl D. jun. 29 1986 First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019 28 1988 Regularization by truncated total least squares. Zbl 0891.65040Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P. 28 1997 A generalized conjugate gradient method for nonsymmetric systems of linear equations. Zbl 0344.65020Concus, Paul; Golub, Gene H. 28 1976 Perturbation analysis of the canonical correlations of matrix pairs. Zbl 0811.15011Golub, Gene H.; Zha, Hongyuan 27 1994 Estimates in quadratic formulas. Zbl 0822.65022Golub, Gene H.; Strakoš, Zdeněk 27 1994 A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038Botchev, Mike A.; Golub, Gene H. 27 2006 The restricted singular value decomposition: Properties and applications. Zbl 0738.15006De Moor, Bart L. R.; Golub, Gene H. 27 1991 Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun 26 2008 Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011Golub, Gene H.; Van Loan, Charles F. 26 1985 Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H. 25 2004 Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032Golub, Gene H.; Ye, Qiang 24 2000 On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041Golub, Gene H.; Vanderstraeten, Denis 24 2000 Tikhonov regularization for large scale problems. Zbl 0927.65058Golub, Gene H.; von Matt, Urs 23 1998 A bibliography on semiseparable matrices. Zbl 1168.15312Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 23 2005 On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications. Zbl 0646.65033Arbenz, Peter; Golub, Gene H. 23 1988 Matrix computations. 4th ed. Zbl 1268.65037Golub, Gene H.; Van Loan, Charles F. 918 2013 Matrices, moments and quadrature with applications. Zbl 1217.65056Golub, Gene H.; Meurant, Gérard 96 2010 Solving ellipsoid-constrained integer least squares problems. Zbl 1195.65049Chang, Xiao-Wen; Golub, Gene H. 3 2010 The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments. Zbl 1169.65032Golub, Gene; Uhlig, Frank 7 2009 A quasi-separable approach to solve the symmetric definite tridiagonal generalized eigenvalue problem. Zbl 1186.65046Vandebril, Raf; Golub, Gene; van Barel, Marc 2 2009 Symmetric tensors and symmetric tensor rank. Zbl 1181.15014Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard 168 2008 On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 134 2008 Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun 26 2008 Continuous methods for symmetric generalized eigenvalue problems. Zbl 1140.65029Gao, Xing-Bao; Golub, Gene H.; Liao, Li-Zhi 9 2008 Approximation of the scattering amplitude and linear systems. Zbl 1188.65032Golub, Gene H.; Stoll, Martin; Wathen, Andy 6 2008 Towards a backward perturbation analysis for data least squares problems. Zbl 1176.65047Chang, X.-W.; Golub, G. H.; Paige, C. C. 2 2008 Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022Bai, Zhongzhi; Golub, Gene H. 280 2007 Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 141 2007 On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 127 2007 Matrix computations. 3rd ed. Zbl 1118.65316Golub, Gene; Van Loan, Charles F. 56 2007 On the numerical condition of a generalized Hankel eigenvalue problem. Zbl 1121.65036Beckermann, B.; Golub, G. H.; Labahn, G. 12 2007 Spectral analysis of a preconditioned iterative method for the convection-diffusion equation. Zbl 1140.65024Bertaccini, Daniele; Golub, Gene H.; Serra-Capizzano, Stefano 12 2007 A hybrid approach combining Chebyshev filter and conjugate gradient for solving linear systems with multiple right-hand sides. Zbl 1151.65319Golub, Gene H.; Ruiz, Daniel; Touhami, Ahmed 9 2007 A two-stage algorithm for computing pagerank and multistage generalizations. Zbl 1206.68050Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A. 2 2007 A two-stage algorithm for computing PageRank and multistage generalizations. Zbl 1221.68041Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A. 2 2007 Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031Golub, Gene H. 1 2007 Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong 125 2006 An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034Golub, G. H.; Greif, C. 47 2006 A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038Botchev, Mike A.; Golub, Gene H. 27 2006 An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048Golub, Gene H.; Greif, Chen; Varah, James M. 15 2006 Continuous methods for extreme and interior eigenvalue problems. Zbl 1092.65029Golub, Gene H.; Liao, Li-Zhi 12 2006 On a generalized eigenvalue problem for nonsquare pencils. Zbl 1128.15004Chu, Delin; Golub, Gene H. 9 2006 Some observations on local least squares. Zbl 1103.65041Bartels, R. H.; Golub, G. H.; Samavati, F. F. 1 2006 Numerical solution of saddle point problems. Zbl 1115.65034Benzi, Michele; Golub, Gene H.; Liesen, Jörg 907 2005 Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng 218 2005 Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058Chu, Moody T.; Golub, Gene H. 97 2005 Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina 47 2005 A bibliography on semiseparable matrices. Zbl 1168.15312Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N. 23 2005 The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach. Zbl 1100.65035Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman 16 2005 Multidimensional integral inversion, with applications in shape reconstruction. Zbl 1099.65128Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte 12 2005 How to deduce a proper eigenvalue cluster from a proper singular value cluster in the nonnormal case. Zbl 1088.65031Serra-Capizzano, Stefano; Bertaccini, Daniele; Golub, Gene H. 10 2005 A bibliography on semiseparable matrices. Zbl 1168.15306Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola 6 2005 A subspace approximation method for the quadratic eigenvalue problem. Zbl 1079.65039Holz, U. B.; Golub, G. H.; Law, K. H. 5 2005 Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu 355 2004 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 254 2004 Adaptive methods for the computation of PageRank. Zbl 1091.68044Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene 65 2004 Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H. 25 2004 Shape from moments – an estimation theory perspective. Zbl 1369.62145Elad, Michael; Milanfar, Peyman; Golub, Gene H. 15 2004 Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G. 8 2004 Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 640 2003 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 86 2003 On solving block-structured indefinite linear systems. Zbl 1036.65033Golub, Gene H.; Greif, Chen 75 2003 Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015Benzi, Michele; Gander, Martin J.; Golub, Gene H. 63 2003 Scaling by binormalization. Zbl 1050.65049Livne, Oren E.; Golub, Gene H. 8 2003 The spectrum of a modified linear pencil. Zbl 1054.65033Elhay, S.; Golub, G. H.; Ram, Y. M. 2 2003 Structured inverse eigenvalue problems. Zbl 1105.65326Chu, Moody T.; Golub, Gene H. 82 2002 An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017Golub, Gene H.; Ye, Qiang 46 2002 Symmetric-triangular decomposition and its applications. I: Theorems and algorithms. Zbl 1017.65020Golub, Gene H.; Yuan, Jin-Yun 14 2002 Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041Golub, Gene H.; Greif, Chen; Varah, James M. 4 2002 SOR-like methods for augmented systems. Zbl 0991.65036Golub, Gene H.; Wu, X.; Yuan, Jin-Yun 165 2001 Rank-one approximation to high order tensors. Zbl 1001.65036Zhang, Tong; Golub, Gene H. 141 2001 From numerical analysis to computational science. Zbl 1047.65504Engquist, Björn; Golub, Gene 16 2001 Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. Zbl 1037.68784Nguyen, Nhat; Milanfar, Peyman; Golub, Gene 15 2001 A computationally efficient superresolution image reconstruction algorithm. Zbl 1040.68567Nguyen, Nhat; Milanfar, Peyman; Golub, Gene 11 2001 A parallel balance scheme for banded linear systems. Zbl 1055.65044Golub, Gene H.; Sameh, Ahmed H.; Sarin, Vivek 6 2001 A note on preconditioning for indefinite linear systems. Zbl 0959.65063Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J. 221 2000 A stable numerical method for inverting shape from moments. Zbl 0956.65030Golub, Gene H.; Milanfar, Peyman; Varah, James 44 2000 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 43 2000 Eigenvalue computation in the 20th century. Zbl 0965.65057Golub, Gene H.; van der Vorst, Henk A. 39 2000 Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022Golub, Gene H.; Ye, Qiang 36 2000 Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032Golub, Gene H.; Ye, Qiang 24 2000 On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041Golub, Gene H.; Vanderstraeten, Denis 24 2000 Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations. Zbl 0948.65033Golub, Gene H.; Zhang, Zhenyue; Zha, Hongyuan 14 2000 Computing the SVD of a general matrix product/quotient. Zbl 0969.65032Golub, Gene; Sølna, Knut; Van Dooren, Paul 9 2000 A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118Chan, Tony F.; Golub, Gene H.; Mulet, Pep 192 1999 Tikhonov regularization and total least squares. Zbl 0945.65042Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P. 88 1999 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044Calvetti, D.; Golub, G. H.; Reichel, L. 48 1999 Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054Benzi, Michele; Golub, Gene H. 44 1999 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 36 1999 On some eigenvector-eigenvalue relations. Zbl 0929.15008Elhay, S.; Gladwell, G. M. L.; Golub, G. H.; Ram, Y. M. 10 1999 An efficient algorithm for a bounded errors-in-variables model. Zbl 0957.65070Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H. 8 1999 Subspace iterative methods for eigenvalue problems. Zbl 0932.65044Zhang, T.; Golub, G. H.; Law, K. H. 2 1999 Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22–29, 1998. Dedicated to the memory of Günther Hämmerlin. Zbl 0919.00065 1 1999 A computable error bound for matrix functionals. Zbl 0937.65054Calvetti, D.; Golub, G. H.; Reichel, L. 1 1999 An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053Golub, Gene H.; Wathen, Andrew J. 55 1998 Tikhonov regularization for large scale problems. Zbl 0927.65058Golub, Gene H.; von Matt, Urs 23 1998 Solution of biharmonic equations with application to radar imaging. Zbl 0933.65128Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H. 18 1998 Parameter estimation in the presence of bounded data uncertainties. Zbl 0914.65147Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H. 16 1998 A fast Poisson solver for the finite difference solution of the incompressible Navier-Stokes equations. Zbl 0957.76053Golub, Gene H.; Huang, Lan Chieh; Simon, Horst; Tang, Wei-Pai 11 1998 Rank modifications of semidefinite matrices associated with a secant update formula. Zbl 0922.65031Chu, Moody T.; Funderlic, R. E.; Golub, Gene H. 9 1998 Inner and outer iterations for the Chebyshev algorithm. Zbl 0911.65024Giladi, Eldar; Golub, Gene H.; Keller, Joseph B. 8 1998 On the homotopy method for perturbed symmetric generalized eigenvalue problems. Zbl 0917.65035Zhang, T.; Law, K. H.; Golub, G. H. 8 1998 Cyclic reduction – history and applications. Zbl 0921.65023Gander, Walter; Golub, Gene H. 5 1998 Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Zbl 0910.00057 2 1998 Efficient solution of the Jacobian system in Newton’s method close to a root. Zbl 0921.65039Drexler, Michael; Golub, Gene H. 1 1998 Eigenvalue perturbation and generalized Krylov subspace method. Zbl 0931.65039Zhang, T.; Golub, G. H.; Law, K. H. 1 1998 Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050Golub, G. H.; Meurant, G. 43 1997 Regularization by truncated total least squares. Zbl 0891.65040Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P. 28 1997 Generalized cross-validation for large scale problems. Zbl 0878.65032Golub, Gene H.; von Matt, Urs 22 1997 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013Bai, Zhaojun; Golub, Gene H. 16 1997 On a variational formulation of the generalized singular value decomposition. Zbl 0891.65038Chu, Moody T.; Funderlic, Robert. E.; Golub, Gene H. 12 1997 Closer to the solution: Iterative linear solvers. Zbl 0881.65025Golub, Gene H.; van der Vorst, Henk A. 10 1997 150 years old and still alive: Eigenproblems. Zbl 0881.65026van der Vorst, Henk A.; Golub, Gene H. 10 1997 Efficient algorithms for least squares type problems with bounded uncertainties. Zbl 0892.62038Chandrasekaran, Shivkumar; Golub, Gene H.; Gu, Ming; Sayed, Ali H. 1 1997 Matrix computations. 3rd ed. Zbl 0865.65009Golub, Gene; Van Loan, Charles F. 3,124 1996 ...and 135 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,834 Authors 128 Reichel, Lothar 101 Wei, Yimin 67 Bai, Zhongzhi 66 Huang, Ting-Zhu 66 Ma, Changfeng 66 Pan, Victor Yakovlevich 64 Golub, Gene Howard 62 Zhang, Guofeng 56 Jódar Sanchez, Lucas Antonio 49 Benner, Peter 43 Khojasteh Salkuyeh, Davod 42 Evans, David John 41 Ng, Michael Kwok-Po 41 Serra-Capizzano, Stefano 39 Van Barel, Marc 38 Dehghan Takht Fooladi, Mehdi 38 Simoncini, Valeria 37 Axelsson, Axel Owe Holger 37 Benzi, Michele 37 Liang, Zhaozheng 37 Mehrmann, Volker 36 Jbilou, Khalide 36 Van Dooren, Paul M. 35 Wu, Shiliang 33 Cao, Yang 33 Li, Cuixia 32 Van Huffel, Sabine 31 Lin, Wen-Wei 31 Milovanović, Gradimir V. 31 Qi, Liqun 30 Chen, Guoliang 30 Jia, Zhongxiao 30 Wu, Yujiang 29 Nakatsukasa, Yuji 28 Li, Rencang 28 Wei, Musheng 28 Yang, Aili 27 Jin, Xiaoqing 26 Huang, Zhengge 26 Saad, Yousef 25 Dai, Hua 25 Kressner, Daniel 25 Stoll, Martin 24 Hajarian, Masoud 24 Martínez, José Mario 24 Mastronardi, Nicola 24 Vandebril, Raf 24 Wu, Gang 23 Calvetti, Daniela 23 Cui, Jingjing 23 Lu, Linzhang 23 Mitrouli, Marilena 23 Sadkane, Miloud 23 Zheng, Bing 22 Bini, Dario Andrea 22 Chen, Fang 22 De Moor, Bart L. R. 22 Gu, Chuanqing 22 Hu, Xiyan 22 Lin, Yiqin 22 Sadok, Hassane 21 Gemignani, Luca 21 Li, Wen 21 Wathen, Andrew John 21 Xiang, Hua 20 Higham, Nicholas J. 20 Miao, Shu-Xin 20 Nagy, James Gerard 20 Rojo, Oscar L. 20 Spalević, Miodrag M. 20 Toutounian, Faezeh 20 Wang, Xiang 20 Wu, Qingbiao 20 Xu, Zhong 20 Zhang, Lei-Hong 19 Bai, Zhengjian 19 Barlow, Jesse L. 19 Gondzio, Jacek 19 Hansen, Per Christian 19 O’Leary, Dianne P. 19 Plemmons, Robert James 19 Rodriguez, Giuseppe 19 Ye, Qiang 19 Zhang, Lei 18 Bai, Zhaojun 18 Gautschi, Walter 18 Hadjidimos, Apostolos 18 Verhaegen, Michel 17 Ballico, Edoardo 17 Chan, Raymond Hon-Fu 17 Chu, Delin 17 Chu, Moody T. 17 Fan, Hongtao 17 King-wah Chu, Eric 17 Liu, Xiaowei 17 Niu, Qiang 17 Paige, Christopher C. 17 Pearson, John W. 17 Shao, Xinhui 17 Viloche Bazán, Fermín S. ...and 14,734 more Authors all top 5 Cited in 744 Serials 1,033 Linear Algebra and its Applications 799 Journal of Computational and Applied Mathematics 527 Applied Mathematics and Computation 388 Computers & Mathematics with Applications 368 Journal of Computational Physics 357 Numerical Algorithms 287 Numerische Mathematik 283 Computer Methods in Applied Mechanics and Engineering 272 Applied Numerical Mathematics 272 SIAM Journal on Scientific Computing 248 BIT 221 SIAM Journal on Matrix Analysis and Applications 210 Mathematics of Computation 198 Automatica 193 International Journal of Computer Mathematics 192 Numerical Linear Algebra with Applications 144 Journal of Scientific Computing 118 Applied Mathematics Letters 117 Computational Statistics and Data Analysis 99 Computational Optimization and Applications 96 Computational and Applied Mathematics 89 International Journal of Control 87 Computing 83 Mathematical Programming. Series A. Series B 81 Journal of Optimization Theory and Applications 79 Calcolo 69 Mathematical Problems in Engineering 67 Linear and Multilinear Algebra 66 Optimization Methods & Software 65 Mathematical and Computer Modelling 65 Advances in Computational Mathematics 64 Pattern Recognition 61 Engineering Analysis with Boundary Elements 60 International Journal for Numerical Methods in Engineering 60 Mathematics and Computers in Simulation 60 Systems & Control Letters 57 Journal of Econometrics 57 Journal of Mathematical Imaging and Vision 55 Journal of Mathematical Analysis and Applications 53 Applied Mathematical Modelling 52 Computer Physics Communications 46 Computers and Fluids 46 East Asian Journal on Applied Mathematics 45 Journal of Statistical Computation and Simulation 44 Journal of the Franklin Institute 44 Mathematical Programming 44 Journal of Applied Mathematics and Computing 43 SIAM Journal on Optimization 41 Signal Processing 40 Circuits, Systems, and Signal Processing 37 Theoretical Computer Science 37 Applied and Computational Harmonic Analysis 36 Inverse Problems 36 The Annals of Statistics 36 Japan Journal of Industrial and Applied Mathematics 36 SIAM Journal on Imaging Sciences 35 Computational Mechanics 34 Journal of Multivariate Analysis 34 SIAM Journal on Numerical Analysis 34 Communications in Statistics. Simulation and Computation 34 European Journal of Operational Research 33 Machine Learning 32 Numerical Functional Analysis and Optimization 32 Journal of Global Optimization 31 Statistics and Computing 30 Multidimensional Systems and Signal Processing 29 International Journal for Numerical Methods in Fluids 29 Inverse Problems in Science and Engineering 28 Computational Geosciences 27 Computer Aided Geometric Design 27 Foundations of Computational Mathematics 26 Information Sciences 26 International Journal of Computer Vision 26 Parallel Algorithms and Applications 25 International Journal of Systems Science 25 Journal of Approximation Theory 25 Journal of Economic Dynamics & Control 25 Neural Networks 25 SIAM Review 25 Journal of Applied Mathematics 24 Journal of Fluid Mechanics 24 Journal of Mathematical Physics 24 Journal of Statistical Planning and Inference 24 Communications in Statistics. Theory and Methods 24 Journal of Inequalities and Applications 24 The Annals of Applied Statistics 23 Physica D 23 Journal of Symbolic Computation 23 Annals of Operations Research 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Frontiers of Mathematics in China 23 Science China. Mathematics 22 Mathematical Biosciences 21 Journal of Complexity 21 Neural Computation 21 Applications of Mathematics 21 ETNA. Electronic Transactions on Numerical Analysis 21 Journal of Machine Learning Research (JMLR) 21 BIT. Nordisk Tidskrift for Informationsbehandling 20 Computational Statistics ...and 644 more Serials all top 5 Cited in 61 Fields 7,838 Numerical analysis (65-XX) 2,557 Linear and multilinear algebra; matrix theory (15-XX) 1,196 Statistics (62-XX) 1,157 Operations research, mathematical programming (90-XX) 1,104 Partial differential equations (35-XX) 976 Computer science (68-XX) 897 Systems theory; control (93-XX) 762 Fluid mechanics (76-XX) 532 Information and communication theory, circuits (94-XX) 463 Mechanics of deformable solids (74-XX) 370 Probability theory and stochastic processes (60-XX) 365 Calculus of variations and optimal control; optimization (49-XX) 353 Approximations and expansions (41-XX) 337 Ordinary differential equations (34-XX) 299 Biology and other natural sciences (92-XX) 240 Operator theory (47-XX) 210 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 190 Combinatorics (05-XX) 166 Quantum theory (81-XX) 158 Harmonic analysis on Euclidean spaces (42-XX) 155 Optics, electromagnetic theory (78-XX) 147 Dynamical systems and ergodic theory (37-XX) 145 Geophysics (86-XX) 141 Special functions (33-XX) 124 Mechanics of particles and systems (70-XX) 120 Statistical mechanics, structure of matter (82-XX) 112 Integral equations (45-XX) 96 Algebraic geometry (14-XX) 90 Real functions (26-XX) 84 Functions of a complex variable (30-XX) 72 Number theory (11-XX) 64 Functional analysis (46-XX) 63 Differential geometry (53-XX) 59 Classical thermodynamics, heat transfer (80-XX) 56 Field theory and polynomials (12-XX) 53 Integral transforms, operational calculus (44-XX) 45 Commutative algebra (13-XX) 42 Difference and functional equations (39-XX) 37 Potential theory (31-XX) 36 Global analysis, analysis on manifolds (58-XX) 30 Convex and discrete geometry (52-XX) 26 Geometry (51-XX) 24 Astronomy and astrophysics (85-XX) 20 History and biography (01-XX) 19 Group theory and generalizations (20-XX) 17 General and overarching topics; collections (00-XX) 17 Measure and integration (28-XX) 17 Manifolds and cell complexes (57-XX) 16 General topology (54-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Sequences, series, summability (40-XX) 12 Topological groups, Lie groups (22-XX) 10 Mathematical logic and foundations (03-XX) 9 Associative rings and algebras (16-XX) 7 Relativity and gravitational theory (83-XX) 6 Nonassociative rings and algebras (17-XX) 5 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.